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Physics of Fluids / Volume 31 / Issue 4

Phys. Fluids 31, 728 (1988); http://dx.doi.org/10.1063/1.866809 (16 pages)

The effect of hydrodynamic interactions on the orientation of axisymmetric particles flowing through a fixed bed of spheres or fibers

E. S. G. Shaqfeh1 and Donald L. Koch2

1AT&T Bell Laboratories, 600 Mountain Avenue, Murray Hill, New Jersey 07974
2School of Chemical Engineering, Olin Hall, Cornell University, Ithaca, New York 14853

(Received 28 May 1987; accepted 22 December 1987)

Averaged equations describing the evolution of the orientation distribution in a dilute suspension of axisymmetric ‘‘tracer’’ particles flowing through a fixed bed of spheres or fibers are derived. The orientations of the freely suspended ‘‘tracer’’ particles change because of the stochastically fluctuating velocity field induced by the randomly distributed fixed‐bed particles. In the limit of small fixed‐bed volume fraction the orientation distribution satisfies a local orientational advective‐diffusion equation with an effective rotary diffusivity and ‘‘drift’’ velocity, which are functions of the orientation of the particle relative to the direction of the average flow. Solutions of this equation show that the tracer particles tend to align with their ‘‘thin side’’ toward the direction of the bulk flow and that the degree of this alignment depends on the aspect ratio of the particle.

KEYWORDS and PACS

Keywords

SPHERES, FIBERS, HYDRODYNAMICS, ORIENTATION, SYMMETRY, SUSPENSIONS, DILUTION, EQUATIONS, DISTRIBUTION

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.866809

PUBLICATION DATA

ISSN

0031-9171 (print)  
1089-7666 (online)

For access to fully linked references, you need to log in.
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    C. Elata, J. Burger, J. Michlin, and U. Takserman, Phys. Fluids 20, S49 (1977PFLDAS000020000010000S49000001).


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